Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. x + y ≤ 7 -2x + 3y ≥ 15 x20, y20 The maximum value of M is which is attained for x = and y=

Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. x + y ≤ 7 -2x + 3y ≥ 15 x20, y20 The maximum value of M is which is attained for x = and y=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve the linear programming problem by the simplex method.
Maximize 60x + 45y subject to the following constraints.
X +
y ≤ 7
- 2x + 3y ≥ 15
x≥0,
y 20
The maximum value of Mis
which is attained for x =
and y=.
C----

Expert Solution

Step 1: Given the information

The given LPP,

Maximize $M equals 60 x plus 45 y$

Subject to the constraints,

$table row cell x plus y end cell less or equal than 7 row cell negative 2 x plus 3 y end cell greater or equal than 15 row cell x comma space y end cell greater or equal than 0 end table$

The aim is to solve the LPP using the simplex method.

Step by step

Solved in 5 steps with 40 images

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